GCF of 6081/120, 1473/8875
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6081/120, 1473/8875 i.e 3/213000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6081/120, 1473/8875.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6081/120,1473/8875?
Given fractions are 6081/120,1473/8875
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6081/120,1473/8875, numerators are 6081,1473
Denominators are 120,8875
The GCF of 6081,1473 is 3 .
LCM of 120,8875 is 213000.
The greatest common factor of 6081/120,1473/8875 = [GCF of 6081,1473]/[LCM of 120,8875]= 3/213000
Therefore, the GCF of 6081/120,1473/8875 is 3/213000.
To find the highest common factor of 6081,1473, we have to find the factors of both numbers and list the highest common factor.
The factors of 6081 are 1, 3, 2027, 6081
The factors of 1473 are 1, 3, 491, 1473
The HCF of 6081,1473 is 3.
Lets's calculate GCF of 6081,1473
| 3 | 6081, 1473 |
| 2027, 491 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6081,1473 By Matching Biggest Common Factor Method
Now, list down the factors of 6081
:1,3,2027,6081
Now, list down the factors of 1473
:1,3,491,1473
Greatest Common Factor
We found the factors 6081,1473 . The biggest common factor number is the GCF number.
So the greatest common factor 6081,1473 is 3.
Lets's calculate LCM of 120,8875
| 5 | 120, 8875 |
| 24, 1775 |
∴ So the LCM of the given numbers is 5 x 24 x 1775 = 213000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/213000
Therefore, the GCF of Fractions 6081/120,1473/8875 is 3/213000
Least Common Multiple of 120,8875 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 120,8875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,8875) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(120,8875) x common factors =5 x 1 = 5
LCM(120,8875) = ( 120 × 8875 ) / 5
LCM(120,8875) = 1065000 / 5
LCM(120,8875) = 213000
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FAQs on GCF of Fractions of 6081/120, 1473/8875
1. What is the HCF of 6081,1473?
The HCF of 6081,1473 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6081/120, 1473/8875?
Answer: GCF of Numerators as per given numbers 6081/120, 1473/8875 is
GCF of Numerators i.e. for 6081,1473 is 3
LCM of denominators i.e. for 120,8875 is 213000.
Thus, GCF of Fractions is 3/213000.Finally, GCF of Fractions for 6081/120, 1473/8875 is 3/213000.